Whenever I add an album to my library, it does not organize by the original track number, instead defaulting to by name or by artist. Is there any way to fix this?

No. What is needed is the ability to sort by more than 1 column (many have asked for this over the years). Then you could add the "Track #" column (if it is not already displayed) and sort by it and album name, for instance.

Of course, if you only display 1 album at a time, you can use the track number column to sort the listing.